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Finding the Fourth Proportional to 345,107.62, 476,175.30 and 217,709.38

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Solution

The fourth proportional to 345,107.62, 476,175.30 and 217,709.38 is: 300,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,107.62 : 476,175.30 = 217,709.38 : x
  2. Step 2: Convert to fraction form
    345,107.62/476,175.30 = 217,709.38/x
  3. Step 3: Cross multiply
    345,107.62x = 476,175.30 × 217,709.38
  4. Step 4: Simplify right side
    345,107.62x = 103,667,826,953.44
  5. Step 5: Solve for x
    x = 103,667,826,953.44/345,107.62
  6. Step 6: Final answer
    x = 300,392.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.